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A Structural Model with Unobserved Default Boundary

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  • Thorsten Schmidt
  • Alexander Novikov

Abstract

A firm-value model similar to the one proposed by Black and Cox (1976) is considered. Instead of assuming a constant and known default boundary, the default boundary is an unobserved stochastic process. This process has a Brownian component, reflecting the influence of uncertain effects on the precise timing of the default, and a jump component, which relates to abrupt changes in the policy of the company, exogenous events or changes in the debt structure. Interestingly, this setup admits a default intensity, so the reduced form methodology can be applied.

Suggested Citation

  • Thorsten Schmidt & Alexander Novikov, 2008. "A Structural Model with Unobserved Default Boundary," Applied Mathematical Finance, Taylor & Francis Journals, vol. 15(2), pages 183-203.
  • Handle: RePEc:taf:apmtfi:v:15:y:2008:i:2:p:183-203
    DOI: 10.1080/13504860701718281
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    References listed on IDEAS

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    1. Duffie, Darrell & Lando, David, 2001. "Term Structures of Credit Spreads with Incomplete Accounting Information," Econometrica, Econometric Society, vol. 69(3), pages 633-664, May.
    2. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    3. repec:dau:papers:123456789/2191 is not listed on IDEAS
    4. Leland, Hayne E & Toft, Klaus Bjerre, 1996. "Optimal Capital Structure, Endogenous Bankruptcy, and the Term Structure of Credit Spreads," Journal of Finance, American Finance Association, vol. 51(3), pages 987-1019, July.
    5. Délia Coculescu, 2006. "Valuation of default sensitive claims under imperfect information," Post-Print halshs-00163334, HAL.
    6. Jean-Pierre Fouque & Ronnie Sircar & Knut Sølna, 2006. "Stochastic Volatility Effects on Defaultable Bonds," Applied Mathematical Finance, Taylor & Francis Journals, vol. 13(3), pages 215-244.
    7. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    8. Giesecke, Kay, 2006. "Default and information," Journal of Economic Dynamics and Control, Elsevier, vol. 30(11), pages 2281-2303, November.
    9. K. Borovkov & Alexander Novikov, 2004. "Explicit Bounds for Approximation Rates for Boundary Crossing Probabilities for the Wiener Process," Research Paper Series 115, Quantitative Finance Research Centre, University of Technology, Sydney.
    10. Schmidt, Thorsten & Stute, Winfried, 2007. "Shot-noise processes and the minimal martingale measure," Statistics & Probability Letters, Elsevier, vol. 77(12), pages 1332-1338, July.
    11. Zhou, Chunsheng, 2001. "The term structure of credit spreads with jump risk," Journal of Banking & Finance, Elsevier, vol. 25(11), pages 2015-2040, November.
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    Cited by:

    1. Frank Gehmlich & Thorsten Schmidt, 2014. "Dynamic Defaultable Term Structure Modelling beyond the Intensity Paradigm," Papers 1411.4851, arXiv.org, revised Jul 2015.
    2. Gregor Dorfleitner & Paul Schneider & Tanja Veža, 2011. "Flexing the default barrier," Quantitative Finance, Taylor & Francis Journals, vol. 11(12), pages 1729-1743.
    3. Chao Xu & Yinghui Dong & Guojing Wang, 2019. "The pricing of defaultable bonds under a regime-switching jump-diffusion model with stochastic default barrier," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(9), pages 2185-2205, May.
    4. Arianna Agosto & Enrico Moretto, 2012. "Exploiting default probabilities in a structural model with nonconstant barrier," Applied Financial Economics, Taylor & Francis Journals, vol. 22(8), pages 667-679, April.

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